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Max Koecher
Max Koecher (; 20 January 1924 in Weimar – 7 February 1990, Lengerich (Westfalen), Lengerich) was a German mathematician. Biography Koecher studied mathematics and physics at the Georg-August-Universität in Göttingen. In 1951, he received his doctorate under Max Deuring with his work on Dirichlet series with functional equation where he introduced Koecher–Maass series. He qualified in 1954 at the Westfälische Wilhelms University in Münster. From 1962 to 1970, Koecher was department chair at the University of Munich. He retired in 1989. His main research area was the theory of Jordan algebras, where he introduced the Kantor–Koecher–Tits construction and the Koecher–Vinberg theorem. He discovered the Koecher boundedness principle in the theory of Siegel modular forms. References * * * External links *Max Koecher on Wikimedia Commons {{DEFAULTSORT:Koecher, Max 20th-century German mathematicians 1990 deaths 1924 births ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Max Koecher 2
Max or MAX may refer to: Animals * Max (dog) (1983–2013), at one time purported to be the world's oldest living dog * Max (English Springer Spaniel), the first pet dog to win the PDSA Order of Merit (animal equivalent of OBE) * Max (gorilla) (1971–2004), a western lowland gorilla at the Johannesburg Zoo who was shot by a criminal in 1997 Brands and enterprises * Australian Max Beer * Max Hamburgers, a fast-food corporation * MAX Index, a Hungarian domestic government bond index * Max Fashion, an Indian clothing brand Computing * MAX (operating system), a Spanish-language Linux version * Max (software), a music programming language * Commodore MAX Machine * Multimedia Acceleration eXtensions, extensions for HP PA-RISC Films * Max (1994 film), ''Max'' (1994 film), a Canadian film by Charles Wilkinson * Max (2002 film), ''Max'' (2002 film), a film about Adolf Hitler * Max (2015 film), ''Max'' (2015 film), an American war drama film Games * ''Dancing Stage Max'', a 2005 game in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Weimar
Weimar is a city in the state of Thuringia, Germany. It is located in Central Germany between Erfurt in the west and Jena in the east, approximately southwest of Leipzig, north of Nuremberg and west of Dresden. Together with the neighbouring cities of Erfurt and Jena, it forms the central metropolitan area of Thuringia, with approximately 500,000 inhabitants. The city itself has a population of 65,000. Weimar is well known because of its large cultural heritage and its importance in German history. The city was a focal point of the German Enlightenment and home of the leading figures of the literary genre of Weimar Classicism, writers Johann Wolfgang von Goethe and Friedrich Schiller. In the 19th century, noted composers such as Franz Liszt made Weimar a music centre. Later, artists and architects such as Henry van de Velde, Wassily Kandinsky, Paul Klee, Lyonel Feininger, and Walter Gropius came to the city and founded the Bauhaus movement, the most important German de ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lengerich (Westfalen)
Lengerich is a town in the Steinfurt (district), district of Steinfurt, in North Rhine-Westphalia, Germany. It is situated on the southern slope of the Teutoburg Forest, approx. 15 km south-west of Osnabrück and 30 km north-east of Münster. Transportation Lengerich is situated at the Wanne-Eickel-Hamburg railway and offers half-hourly connections to Münster and Osnabrück. The A1 autobahn also runs through Lengerich and the Lengerich/Tecklenburg exit is located to the west of the city. Mayors The mayor is the pharmacist Wilhelm Möhrke (independent), the predecessor was Friedrich Prigge. International relations Lengerich, Westphalia is town twinning, twinned with: * Leegebruch (Brandenburg, Germany) * Wapakoneta, Ohio, Wapakoneta (Ohio, United States) * Warta, Poland, Warta (Poland) Lengerich's neighboring municipalities, Ladbergen and Lienen, are sister cities in the United States with Wapakoneta's neighbors New Knoxville, Ohio, New Knoxville and Saint ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Göttingen
Göttingen (, , ; nds, Chöttingen) is a college town, university city in Lower Saxony, central Germany, the Capital (political), capital of Göttingen (district), the eponymous district. The River Leine runs through it. At the end of 2019, the population was 118,911. General information The origins of Göttingen lay in a village called ''Gutingi, ''first mentioned in a document in 953 AD. The city was founded northwest of this village, between 1150 and 1200 AD, and adopted its name. In Middle Ages, medieval times the city was a member of the Hanseatic League and hence a wealthy town. Today, Göttingen is famous for its old university (''Georgia Augusta'', or University of Göttingen, "Georg-August-Universität"), which was founded in 1734 (first classes in 1737) and became the most visited university of Europe. In 1837, seven professors protested against the absolute sovereignty of the House of Hanover, kings of Kingdom of Hanover, Hanover; they lost their positions, but be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Max Deuring
Max Deuring (9 December 1907 – 20 December 1984) was a German mathematician. He is known for his work in arithmetic geometry, in particular on elliptic curves in characteristic p. He worked also in analytic number theory. Deuring graduated from the University of Göttingen in 1930, then began working with Emmy Noether, who noted his mathematical acumen even as an undergraduate. When she was forced to leave Germany in 1933, she urged that the university offer her position to Deuring. In 1935 he published a report entitled ''Algebren'' ("Algebras"), which established his notability in the world of mathematics. He went on to serve as ''Ordinarius'' at Marburg and Hamburg, then took a position as ''ordentlicher Lehrstuhl'' at Göttingen, where he remained until his retirement. Dick, Auguste. ''Emmy Noether: 1882–1935''. Trans. H. I. Blocher. Boston: Birkhäuser, 1981. . p. 54. Deuring was a fellow of the Leopoldina. His doctoral students include Max Koecher and Hans-Egon Riche ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Koecher–Maass Series
In mathematics, a Koecher–Maass series is a type of Dirichlet series that can be expressed as a Mellin transform of a Siegel modular form, generalizing Hecke's method of associating a Dirichlet series to a modular form In mathematics, a modular form is a (complex) analytic function on the upper half-plane satisfying a certain kind of functional equation with respect to the Group action (mathematics), group action of the modular group, and also satisfying a grow ... using Mellin transforms. They were introduced by and . References * * Automorphic forms {{numtheory-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kantor–Koecher–Tits Construction
In algebra, the Kantor–Koecher–Tits construction is a method of constructing a Lie algebra from a Jordan algebra In abstract algebra, a Jordan algebra is a nonassociative algebra over a field whose multiplication satisfies the following axioms: # xy = yx (commutative law) # (xy)(xx) = x(y(xx)) (). The product of two elements ''x'' and ''y'' in a Jordan alg ..., introduced by , , and . If ''J'' is a Jordan algebra, the Kantor–Koecher–Tits construction puts a Lie algebra structure on ''J'' + ''J'' + Inner(''J''), the sum of 2 copies of ''J'' and the Lie algebra of inner derivations of ''J''. When applied to a 27-dimensional exceptional Jordan algebra it gives a Lie algebra of type E7 of dimension 133. The Kantor–Koecher–Tits construction was used by to classify the finite-dimensional simple Jordan superalgebras. References * * * * * {{DEFAULTSORT:Kantor-Koecher-Tits construction Lie algebras Non-associative algebras ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Koecher–Vinberg Theorem
In operator algebra, the Koecher–Vinberg theorem is a reconstruction theorem for real Jordan algebras. It was proved independently by Max Koecher in 1957 and Ernest Vinberg in 1961. It provides a one-to-one correspondence between formally real Jordan algebras and so-called domains of positivity. Thus it links operator algebraic and convex order theoretic views on state spaces of physical systems. Statement A convex cone C is called ''regular'' if a=0 whenever both a and -a are in the closure \overline. A convex cone C in a vector space A with an inner product has a ''dual cone'' C^* = \. The cone is called ''self-dual'' when C=C^*. It is called ''homogeneous'' when to any two points a,b \in C there is a real linear transformation In mathematics, and more specifically in linear algebra, a linear map (also called a linear mapping, linear transformation, vector space homomorphism, or in some contexts linear function) is a mapping V \to W between two vector spaces that pre . ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Koecher Boundedness Principle
In mathematics, Siegel modular forms are a major type of automorphic form. These generalize conventional ''elliptic'' modular forms which are closely related to elliptic curves. The complex manifolds constructed in the theory of Siegel modular forms are Siegel modular varieties, which are basic models for what a moduli space for abelian varieties (with some extra level structure) should be and are constructed as quotients of the Siegel upper half-space rather than the upper half-plane by discrete groups. Siegel modular forms are holomorphic functions on the set of symmetric ''n'' × ''n'' matrices with positive definite imaginary part; the forms must satisfy an automorphy condition. Siegel modular forms can be thought of as multivariable modular forms, i.e. as special functions of several complex variables. Siegel modular forms were first investigated by for the purpose of studying quadratic forms analytically. These primarily arise in various branches of number theory, su ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Siegel Modular Form
In mathematics, Siegel modular forms are a major type of automorphic form. These generalize conventional ''elliptic'' modular forms which are closely related to elliptic curves. The complex manifolds constructed in the theory of Siegel modular forms are Siegel modular varieties, which are basic models for what a moduli space for abelian varieties (with some extra level structure) should be and are constructed as quotients of the Siegel upper half-space rather than the upper half-plane by discrete groups. Siegel modular forms are holomorphic functions on the set of symmetric ''n'' × ''n'' matrices with positive definite imaginary part; the forms must satisfy an automorphy condition. Siegel modular forms can be thought of as multivariable modular forms, i.e. as special functions of several complex variables. Siegel modular forms were first investigated by for the purpose of studying quadratic forms analytically. These primarily arise in various branches of number theory, su ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Journal Für Die Reine Und Angewandte Mathematik
''Crelle's Journal'', or just ''Crelle'', is the common name for a mathematics journal, the ''Journal für die reine und angewandte Mathematik'' (in English: ''Journal for Pure and Applied Mathematics''). History The journal was founded by August Leopold Crelle (Berlin) in 1826 and edited by him until his death in 1855. It was one of the first major mathematical journals that was not a proceedings of an academy. It has published many notable papers, including works of Niels Henrik Abel, Georg Cantor, Gotthold Eisenstein, Carl Friedrich Gauss and Otto Hesse. It was edited by Carl Wilhelm Borchardt from 1856 to 1880, during which time it was known as ''Borchardt's Journal''. The current editor-in-chief is Rainer Weissauer (Ruprecht-Karls-Universität Heidelberg) Past editors * 1826–1856 August Leopold Crelle * 1856–1880 Carl Wilhelm Borchardt * 1881–1888 Leopold Kronecker, Karl Weierstrass * 1889–1892 Leopold Kronecker * 1892–1902 Lazarus Fuchs * 1903–1928 Kurt Hens ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
